tut8_sol - EE4210 Solution to Tutorial 8 Fuzzy Sets and...

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1 EE4210 Solution to Tutorial 8 Fuzzy Sets and Operations 1. Mobile phone A : quite heavy, very good camera, screen size OK, average power consumption Mobile phone B : weight OK, good camera, small screen, low power consumption Mobile phone C : very light weight, average camera, screen too small, very low power consumption 2. M ( A ) =0.3 + 0.9 + 0.5 + 0.6 = 2.3 M ( B ) =0.4 + 0.8 + 0.2 + 0.7 = 2.1 M ( C ) = 0.9 + 0.5 + 0.1 + 0.9 = 2.4 3. Fuzzy entropy 481 . 0 7 . 2 3 . 1 6 . 0 5 . 0 9 . 0 7 . 0 4 . 0 5 . 0 1 . 0 3 . 0 ) , ( ) , ( ) ( ) ( ) ( 1 1 = = + + + + + + = = = far near C C A A l A A l A A M A A M A E Fuzzy entropy 379 . 0 9 . 2 1 . 1 7 . 0 8 . 0 8 . 0 6 . 0 3 . 0 2 . 0 2 . 0 4 . 0 ) ( = = + + + + + + = B E Fuzzy entropy 25 . 0 2 . 3 8 . 0 9 . 0 9 . 0 5 . 0 9 . 0 1 . 0 1 . 0 5 . 0 1 . 0 ) ( = = + + + + + + = C E 4. Subsethood ) ( )) ( ) ( , 0 max( 1 ) , ( A M x m x m B A S x B A - - = 826 . 0 3 . 2 4 . 0 1 3 . 2 0 3 . 0 1 . 0 0 1 = - = + + + - = 905 . 0 1
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tut8_sol - EE4210 Solution to Tutorial 8 Fuzzy Sets and...

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